# The pentagram map and Y-patterns

Abstract : The pentagram map, introduced by R. Schwartz, is defined by the following construction: given a polygon as input, draw all of its shortest'' diagonals, and output the smaller polygon which they cut out. We employ the machinery of cluster algebras to obtain explicit formulas for the iterates of the pentagram map.
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Cited literature [8 references]

https://hal.inria.fr/hal-01215101
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### Citation

Max Glick. The pentagram map and Y-patterns. 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011), 2011, Reykjavik, Iceland. pp.399-410, ⟨10.46298/dmtcs.2920⟩. ⟨hal-01215101⟩

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